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Finding the Third Proportional to 59,727 and 119,451

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Solution

The third proportional to 59,727 and 119,451 is: 238,896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,727 : 119,451 = 119,451 : x
  2. Step 2: Convert to fraction form
    59,727/119,451 = 119,451/x
  3. Step 3: Cross multiply
    59,727x = 119,451 × 119,451
  4. Step 4: Simplify right side
    59,727x = 14,268,541,401
  5. Step 5: Solve for x
    x = 14,268,541,401/59,727
  6. Step 6: Final answer
    x = 238,896.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.